activity
20142023
most citedRegularized -estimators of scatter matrix

120 citations · 149 across the 6 of their papers we have counts for

collaborators

6 papers

stat.ME2023

Linear shrinkage of sample covariance matrix or matrices under elliptical distributions: a review

Esa Ollila

This chapter reviews methods for linear shrinkage of the sample covariance matrix (SCM) and matrices (SCM-s) under elliptical distributions in single and multiple populations setti…

stat.ME2023

Affine equivariant Tyler's M-estimator applied to tail parameter learning of elliptical distributions

Esa Ollila, Daniel P. Palomar, Frederic Pascal

We propose estimating the scale parameter (mean of the eigenvalues) of the scatter matrix of an unspecified elliptically symmetric distribution using weights obtained by solving Ty…

stat.ML2023

Regularized EM algorithm

Pierre Houdouin, Esa Ollila, Frederic Pascal

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of proble…

stat.ME201623 cited

Simultaneous penalized M-estimation of covariance matrices using geodesically convex optimization

Esa Ollila, Ilya Soloveychik, David E. Tyler +1

A common assumption when sampling -dimensional observations from distinct group is the equality of the covariance matrices. In this paper, we propose two penalized -estim…

stat.AP2014120 cited

Regularized -estimators of scatter matrix

Esa Ollila, David E. Tyler

In this paper, a general class of regularized -estimators of scatter matrix are proposed which are suitable also for low or insufficient sample support (small and large )…

cs.IT20146 cited

Robust iterative hard thresholding for compressed sensing

Esa Ollila, Hyon-Jung Kim, Visa Koivunen

Compressed sensing (CS) or sparse signal reconstruction (SSR) is a signal processing technique that exploits the fact that acquired data can have a sparse representation in some ba…